12 papers
Notes on the Graph-Encoded Manifolds for the (Genuine) Multi-Entropy
Norihiro Iizuka
Genuine multi-entropy is the part of the -partite multi-entropy that captures entanglement genuinely shared among all parties, rather than entanglement alr…
Genuine Multi-Entropy in the Toric Code
Sriram Akella, Norihiro Iizuka, Akihiro Miyata
We study genuine multi-entropy as a diagnostic of multipartite entanglement in the toric code, which provides a controlled setting for probing multipartite structures in topologica…
Structural Obstruction to Replica Symmetry Breaking for Multi-Entropy in Random Tensor Networks
Sriram Akella, Norihiro Iizuka
We study replica symmetry breaking (RSB) for multi-entropy in the random-tensor-network (RTN) domain-wall spin model. Our main result is that, within this framework, multi-entropy…
Symmetry-resolved genuine multi-entropy: Haar random and graph states
Norihiro Iizuka, Simon Lin
We study the symmetry-resolved genuine multi-entropy, a measure that captures genuine multi-partite entanglement, in Haar random states and random graph states in the presence of a…
Multipartite Markov Gaps and Entanglement Wedge Multiway Cuts
Norihiro Iizuka, Akihiro Miyata, Mitsuhiro Nishida
The Markov gap, defined as the difference between reflected entropy and mutual information, serves as a diagnostic for quantum recoverability and multipartite entanglement. In holo…
More on genuine multi-entropy and holography
Norihiro Iizuka, Simon Lin, Mitsuhiro Nishida
By generalizing the construction of genuine multi-entropy for genuine multi-partite entanglement proposed in the previous paper arXiv:2502.07995, we give a p…